Which of the following statements about f(x)=(x-4)^2-1 are true? select all that apply

we have that
f(x)=(x-4)^2-1  in the question and f(x)=-(x-4)^2-1 in the picture
so

I'm going to analyze the two cases

using a graph tool

case 1)
f(x)=(x-4)^2-1
the vertex is the point (4,-1)
the x intercepts are the points (3,0) and (5,0)
the y intercept is the point (0,15)
the axis of symmetry is x=4
see the attached figure N 1 

case 2)
f(x)=-(x-4)^2-1
the vertex is the point (4,-1)
there is no x intercepts
the y intercept is the point (0,-17)
the axis of symmetry is x=4
see the attached figure N 2






the answer 
considering the case N 2 is
vertex (4,-1)------> is correct
y intercept  (0,-17)-----> is correct
axis of symmetry x=4-----> is correct